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Finding the Third Proportional to 468,400 and 1,027,840

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Solution

The third proportional to 468,400 and 1,027,840 is: 2,255,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,400 : 1,027,840 = 1,027,840 : x
  2. Step 2: Convert to fraction form
    468,400/1,027,840 = 1,027,840/x
  3. Step 3: Cross multiply
    468,400x = 1,027,840 × 1,027,840
  4. Step 4: Simplify right side
    468,400x = 1,056,455,065,600
  5. Step 5: Solve for x
    x = 1,056,455,065,600/468,400
  6. Step 6: Final answer
    x = 2,255,454.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.